Watchmen - Confused regarding Dr. Manhattan's stance on miracles

I'm just paraphrasing here, but he has a nice line on mars where he says, "Miracles are, by their definition, meaningless. Only things that CAN happen do happen."
I thought it was a brilliant line.

Then, a few moments later, he basically says its a miracle that each of us are born how we are.
"In each human coupling, a thousand million sperm vie for a single egg. Multiply those odds by countless generations, against the odds of your ancestors being alive, meeting, siring this precise son; that exact daughter...until your mother loves a man ...and of that union, of the thousand million children competing for fertilization, it was you, only you...(it's) like turning air to gold...thermodynamic miracle."

So, what made Dr. Manhattan change the definition of the word, "miracle"?

There are 2 basic definitions of mircale:
1. An event which breaks the laws of nature
2. An event which is divine, caused by god.

He goes from def 1, to def 3 (an improbable event), which isn't a miracle at all.